On quadratic integral equation of fractional orders

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• 作者：Mohamed Abdalla Darwish
• 关键词：Quadratic integral equation ; Monotonic solutions ; Fractional orders ; Measure of noncompactness ; Darbo's fixed point theorem
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2005
• 出版时间：2005
• 年：2005
• 卷：311
• 期：1
• 页码：112-119
• 全文大小：87 K

文摘

We present an existence theorem for a nonlinear quadratic integral equations of fractional orders, arising in the queuing theory and biology, in the Banach space of real functions defined and continuous on a bounded and closed interval. The concept of measure of noncompactness and a fixed point theorem due to Darbo are the main tool in carrying out our proof.